Results 1 to 10 of about 17,898 (118)
Differencialʹnaâ Geometriâ Mnogoobrazij Figur, 2022 Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
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Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds [PDF]
Journal of Mathematics, 2013 We study totally contact umbilical lightlike hypersurfaces of indefinite -manifolds and prove the nonexistence of totally contact umbilical lightlike hypersurface in indefinite -space form.
Rachna Rani, Rakesh Kumar, R. K. Nagaich
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A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mayuko Kon
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A New Characterization of Totally Umbilical Hypersurfaces in de Sitter Space
Advances in Pure Mathematics, 2014 It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if the kth mean curvature function Hk is a linear combination of Hk+1,…, Hn. This is a new angle to characterize round spheres.
Zhaohui Dai
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A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
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Characterization of totally umbilical hypersurfaces [PDF]
Proceedings of the American Mathematical Society, 1981 This paper gives a sufficient condition for a complete hypersurface of a Riemannian manifold of constant curvature to be umbilical. The condition will be given by an inequality which is established between the length of the second fundamental tensor and the mean curvature. K. Nomizu and B.
T. Hasanis
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A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping [PDF]
Ukrainian Mathematical Journal, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Canfes, Elif Ozkara +1 more
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Totally Umbilical Lightlike Hypersurfaces in Robertson-Walker Spacetimes [PDF]
ISRN Geometry, 2014 We study the problem of lightlike hypersurface immersed into Robertson-Walker (RW) spacetimes in this paper, where the screen bundle of the hypersurface has constant higher order mean curvature. We consider the following question: under what conditions is the compact lightlike hypersurface totally umbilical?
Dong, Junhong, Liu, Ximin
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Totally umbilical hypersurfaces of Spinc manifolds carrying special spinor fields [PDF]
International Journal of Mathematics, 2020 Under some dimension restrictions, we prove that totally umbilical hypersurfaces of Spin[Formula: see text] manifolds carrying a parallel, real or imaginary Killing spinor are of constant mean curvature. This extends to the Spin[Formula: see text] case the result of Kowalski stating that, every totally umbilical hypersurface of an Einstein manifold of
Große, Nadine, Nakad, Roger
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LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS [PDF]
Communications of the Korean Mathematical Society, 2010 The author studies the geometry of lightlike real hypersurfaces of an indefinite Kähler manifold. The main result is a characterization theorem for lightlike real hypersurfaces \(M\) of an indefinite complex space form \(\overline M(c)\) such that the screen distribution is totally umbilic.
Dae-Ho Jin
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